Which fraction represents the decimal 0.25?

Which fraction represents the decimal 0.25?

• A. 1/2
• B. 1/4
• C. 3/4
• D. 2/5

Answer: (B)

The decimal 0.25 represents a value that can be expressed as a fraction. To convert the decimal into a fraction, it is helpful to recognize that the first two decimal places indicate hundredths. Therefore, 0.25 can be read as 25 hundredths, or mathematically, 25/100. To simplify 25/100, we can find the greatest common divisor of both the numerator and the denominator. The greatest common divisor of 25 and 100 is 25. Dividing both the numerator and denominator by 25 yields: \[ \frac{25 \div 25}{100 \div 25} = \frac{1}{4} \] Thus, the fraction representation of the decimal 0.25 is 1/4. This understanding aligns with the decimal-fraction conversion process and shows how basic fractions are derived from decimal representations.

The decimal 0.25 represents a value that can be expressed as a fraction. To convert the decimal into a fraction, it is helpful to recognize that the first two decimal places indicate hundredths. Therefore, 0.25 can be read as 25 hundredths, or mathematically, 25/100.

To simplify 25/100, we can find the greatest common divisor of both the numerator and the denominator. The greatest common divisor of 25 and 100 is 25. Dividing both the numerator and denominator by 25 yields:

[

\frac{25 \div 25}{100 \div 25} = \frac{1}{4}

]

Thus, the fraction representation of the decimal 0.25 is 1/4. This understanding aligns with the decimal-fraction conversion process and shows how basic fractions are derived from decimal representations.